Example of perfect square trinomial is: x² + 6x + 9 it is expressed as
(x + 3)²
What is trinomial?Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."
An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.
A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.
Example:
x² + 6x + 9
= x² + 3x + 3x + 9
= (x +3) (x + 3)
= (x + 3)²
so, this is a perfect square trinomial.
To know more about trinomial refer to:
brainly.com/question/21832198
#SPJ4
The 7th term of a geometric progression is 48 the 8th term is -16 find the common ratio
Answer:
48 = 768* (r)^2
thus, r = 0.25
solving for a(7)
a(7) = 768 * (0.25)^(5)
a(7) = 0.75
Step-by-step explanation:
Answer:
r = - [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The common ratio r is calculated as
r = [tex]\frac{a_{8} }{a_{7} }[/tex] = [tex]\frac{-16}{48}[/tex] = - [tex]\frac{1}{3}[/tex]
A sequence is represented by the explicit formula
The 40th term of the sequence aₙ = - 24 - 3n is - 144.
What are arithmetic and geometric sequence?An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference
d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Given, A sequence is represented by the explicit formula aₙ = - 24 - 3n.
We know, Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.
Therefore, To find a₄₀, we'll simply replace n with 40.
So, a₄₀ = - 24 - 3(40).
a₄₀ = - 24 - 120.
a₄₀ = - 144.
learn more about arithmetic sequence here :
https://brainly.com/question/15412619
#SPJ1
Find the surface area of a square pyramid with side length 6 cm and slant height 7 cm.
120
Step-by-step explanation:Over all plan:This is a square pyramid so you know that all four triangular sides are congruent. This means that to solve this problem, which is asking you to find the surface area, you need to find the area of one of these triangles, and multiply that by 4. Next you need to find the area of the square and add it to the areas of the triangles.
Detailed Steps:
You know the formula to finding the area of the triangle is [tex]\frac{bh}{2}[/tex] where b is the base length and h is the height. We are given b = 6 and h = 7 in your question.Plug in the values into the formula. You get: [tex]\frac{6\cdot7}{2}[/tex]Simplify. You get: [tex]\frac{42}{2} = 21[/tex]Next Multiply this by 4 to find out the total area of all the triangular faces.21 x 4 = 84Now find the area of the square. The formula for the area of a square is [tex]s^2[/tex] where s is the given value of a side.Plug in your value, [tex]6^2=36[/tex]
36+84=120.
120 is your final answer.
hope this helped
peace ✌
40% of Damien‘s marbles are blue. Damien has three marbles how many of the marbles are not blue
40% of Damien’s marbles are 6/5 or 1.2.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Damien has three marbles.
40% of Damien’s marbles are blue.
That means,
40% of 3 blue marbles.
So, using the percentage formula,
40% of 3,
= 40 x 3/100
= 120/100
= 12/10
= 6/5
= 1.2
Therefore, 1.2 marbles are blue.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ1
Complete the table with values for x or y that make this equation true : 3x+y=15.
Answer:
Step-by-step explanation:
So first, with the given table you need to "plug-in" the numbers that are there for x and y.
Ok, for example 2 is listed in the "x" row. So plug it 2 for "x":
3x+y=15
3(2)+y=15
6+y=15
-6 -6
y=9
So do this for all of them...the same goes with all of the values...just plug in one, complete the steps then you'll get the answer for the other variable.
Hope this helps!
What is the factor of the dilation?
The scale factor of dilation explains how the size of the figure has changed. An expansion has a scale factor of x > 1 (greater than 1).
A reduction is a scale factor that is 0 <1 (higher than 0 but less than 1).
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size.
A dilatation that results in a reduction (imagine shrinking) or an expansion (think stretching) produces a smaller or bigger picture, respectively.
The picture is reduced if the scale factor is between 0 and 1.
The picture is an enlargement if the scale factor is larger than 1.
For more questions on rotation and dilation
https://brainly.com/question/28558697
#SPJ4
The average weekly salary of two employees is $5350. One makes $250 more than the other. Find their salaries.
One employee makes $
and the other makes $?
Answer:
g
Step-by-step explanation:
g
What does Y=3x + 15 look like on a graph
Answer:
Step-by-step explanation:
y = 3x + 15 represents a straight line whose y-intercept is (0, 15) and which has the steep positive slope m = 3.
Answer:
it looks like that
Step-by-step explanation:
You fill a 13 1/2 gallon tub 1/9 full of water. How many gallons of water are in the tub?
Answer:
2
Step-by-step explanation:
Find the range, mean, median and mode for the scores. Round to the nearest tenth when necessary.a.40; 75.5; 75; 75c.40; 74.5; 75; 100b.35; 75.5; 75; 75d.40; 74.5; 75; 75
Find BC. AB=25 AC=25 BD=3x+4 DC=4x-5
Answer:
b
Step-by-step explanation:
Since AB = AC = 25, then the triangle is isosceles
Segment AD bisects BC at right angles , then
CD = BD, that is
4x - 5 = 3x + 4 ( subtract 3x from both sides )
x - 5 = 4 ( add 5 to both sides )
x = 9
Then
BC = 3x + 4 + 4x - 5 = 7x - 1 = 7(9) - 1 = 63 - 1 = 62
Answer:
3x+4=4x-5
3x‐(4x)=-5+-4
x=9
plug in 9 for x on both sides and add them together to find BC
each side is 31,
answer is 62.
10) En un triángulo rectángulo ABC, B es un ángulo
recto y m < A = 23° (medida del ángulo A). Si el
lado opuesto al ángulo A mide 17cm ¿Cuánto
mide la hipotenusa?
Answer:
140
Step-by-step explanation:
Primera tienes que sumar 23 y 17 despues tienes que buscar la differencia de 180 y 40.
Do isosceles triangles have 3 congruent angles?
Yes, isosceles triangles have three congruent angles.
An isosceles triangle is a triangle with at least two congruent sides and two congruent angles. The two congruent sides and two congruent angles form an isosceles triangle. The two congruent angles are known as the base angles, and they are opposite to the two congruent sides. The third angle in an isosceles triangle must also be congruent to the two base angles in order for the triangle to be true. This is because the angles of a triangle must always sum up to 180 degrees. Therefore, isosceles triangles have three congruent angles. These angles are all equal in measure and have the same shape. The angles of each isosceles triangle can be different from other isosceles triangles, but the angles are still congruent to each other. Therefore, isosceles triangles have three congruent angles.
Learn more about triangle here
https://brainly.com/question/2773823
#SPJ4
Write a recursive formula for an,the nth term of the sequence 125, -25, 5, ...
Recursive formula for a(n) , the nth term of the sequence is
⇒ a(n) = 125 × (5)ⁿ⁻¹
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
We have to given that;
The sequence is,
⇒ 125, - 25, 5 , ....
Clearly, The sequence is a geometry sequence with common ratio - 5 and first term 125.
We know that;
The nth term of geometry sequence is,
⇒ a(n) = a rⁿ⁻¹
Where, 'r' is common ratio and 'a' is first term of the sequence.
Substitute all the values, we get;
The nth term of the given sequence is,
⇒ a(n) = a rⁿ⁻¹
⇒ a(n) = 125 × (5)ⁿ⁻¹
Learn more about the geometric sequence visit:
https://brainly.com/question/25461416
#SPJ1
In altitude BH and angle bisector AL intersect at point M. Given m∠HML = 100° and m∠MLC = 110°. Find angles of △ABC
The angles of triangle ABC are 60 degrees when altitude BH and bisector AL intersect at point M.
What is equilateral triangle?
An equilateral triangle in geometry is a triangle with equal-length sides on all three sides.
Given that:
[tex]\angle HML = 100 \\\\\angle MLC = 110[/tex]
Since, BH is the altitude [tex]\angle MHC= 90[/tex].
The total angle of a quadrilateral is 360, hence:
100 + 110 + 90 + C = 360
C = 60 degrees.
Now consider triangle BHC:
The sum of angle of a triangle is 180, hence:
90 + 60 + B = 180
B = 30
Since the half angle B = 30, the entire [tex]\angle ABC = 60[/tex].
Consider triangle ABC:
Using sum of triangles, we have:
[tex]\angle A + \angle B + \angle C = 180\\\\\angle A + 60 + 60 = 180 \\\\\angle A = 60[/tex]
Hence the measure of angles of triangle ABC is 60 degrees.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ4
help me on this one bro I hate math
The initial amount of the investment is $800, the investment grows at the rate of 10% each year, and the value of the investment after 12 years is $1760.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The coordinates from the graph.
(0, 800), (1, 880), (2, 968)
x-coordinate is the number of years and the y-coordinate denotes the Value.
Now,
The initial amount of the investment is when x = 0.
= 800
Now,
Rate of change of the value each year.
=(880 - 800) / (1 - 0)
= $80
Rate of percentage.
= 80/800 x 100
= 10%
Now,
The value of the investment after 12 years.
= 800 + 12 x 80
= 800 + 960
= $1760
Thus,
The initial amount of the investment is $800.
The investment grows at the rate of 10% each year.
The value of the investment after 12 years is $1760.
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ1
Find the greatest common factor of $144$ and $405$.
Answer:The answer to your question is 9
How many triangles are there in the following figure 18 17 16 15?
There are 15 triangles in the given figure. Each of the four shapes in the figure can be divided into four triangles.
The figure contains four triangles, each with three sides. To calculate the total number of triangles in the figure, we can multiply the number of sides of each triangle by the number of triangles. Therefore, the total number of triangles in the figure is 3 x 4 = 12.
However, the figure also contains two additional triangles that are formed when three of the triangles intersect. To calculate the total number of triangles, we must add the two additional triangles to the 12 triangles we calculated earlier. Thus, the total number of triangles in the figure is 12 + 2 = 14.
Since the figure also has three more sides, it can be divided into one more triangle. Therefore, the total number of triangles in the figure is 14 + 1 = 15.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ4
50PTS 50PTS don’t explain just answer.
Answer:
[tex] \sf \: x = 7[/tex]
Step-by-step explanation:
Now we have to,
→ find the required value of x.
Forming the equation,
→ 2x + 5 = 3x - 2
Then the value of x will be,
→ 2x + 5 = 3x - 2
→ 2x - 3x = -2 - 5
→ -x = -7
→ [ x = 7 ]
Hence, the value of x is 7.
what can 18 and 6 both be divided by
Answer:
6
Step-by-step explanation:
they can both be divided by 6
Answer:
they can both be divided by 6
Step-by-step explanation:
18÷6=3
6÷6=1
is y = x proportional
Answer:
yes
Step-by-step explanation:
28.2, 27.22, 27.62 , 27.54 , 27.5 in Greatest to Least
Answer:
28.2, 27.63, 27.54, 27.5, 27.22
Answer: 28.2, 27.62,27.5,27.22
Step-by-step explanation:
SOMEONE PLS TELL ME IF IM RIGHT ILL MARK BRAINLIEST
Answer:
u r correct
look at the picture I sent
Answer:
Its actually 5 you were about 4 away
What is the sum of all the positive two-digit integers where one of the digits is three times the other
The sum of all the positive two-digit integers where one of the digits is three times the other is 630.
To arrive at this result, the numbers can be broken down into two groups. The first group consists of numbers with 3 as the first digit, and the second group consists of numbers with 3 as the second digit.
For the first group, the sum is calculated by multiplying the 3 by all the numbers from 1 to 9. This gives a sum of 3+6+9+12+15+18+21+24+27 = 135.
For the second group, the sum is calculated by multiplying the 3 by all the numbers from 1 to 9 and then reversing the digits. This gives a sum of 30+60+90+12+51+81+21+42+72 = 495.
The total sum of all the positive two-digit integers where one of the digits is three times the other is 135+495 = 630.
For more questions like Integers click the link below:
https://brainly.com/question/490943
#SPJ4
A museum has scale models representing different time periods in history. A scale in which one inch in the model represents two feet is used to construct the models. The museum's sculptor wants to build a model of an 18-foot-tall tree for one of the exhibits. How tall should she make the model of the tree?
Answer:
9 inStep-by-step explanation:
Use ratios:
1 in ⇔ 2 ftx in ⇔ 18 ftSolve by cross-multiplication:
1/2 = x/ 182x = 18x = 9 in1. Find the value of the expressions using the correct order of operations.
a. -8 +5 (-3))
b. 5. (
29)
- 8+ -15 = -23
c. -57-4-3
0
d. 4+ (-5). 5-6
e. 3.-5. (-5)
f. (-5 + 4) 8
-8
21
8.
P: -64.-16 -
2
-5
i. -8
4
2. Find the value of the expressions when x = -2 and y - 5.
a. x(y + 1) -2 (5+1)
b. xy + 1
c. -2(x + y)
8⁶ ÷ 8?
can yall help me my brains gone dead
Answer:
32768
Step-by-step explanation:
8^6 is 262144, divide by 8. Your answer is 32768
Answer:
32768
Step-by-step explanation:
8 to the power of 6 is 262144
262144 divided by 8=32768
also invite me to ur brains funeral
Willow has a board that is 10 feet long. She needs to cut the board into equal pieces that are 1/3 feet long.
How many pieces can she cut?
Answer:
12
Step-by-step explanation:
i need help PLEASE DONT GIVE ME THE BITLY LINKS
Answer:
610
Step-by-step explanation:
area of triangle is A=0.5*h*b
a=0.5*20*(8+8+15)
a=310
area of square=lh
a=15*20
a=300
300+310=610
Jaime went to have a haircut that cost $40. She wanted to tip the hair stylist 20% and tax is 6.25%. How much did she spend total for the haircut?